Social contagion describes a variety of behavioral imitations caused by social influence and is particularly ubiquitous in the digital age [1]}, [2]}, [3]}, [4]}. In order to predict and control the collective contagion phenomena on large-scale social networks, such as the spread of rumors, social norms and online behaviors, scientists have made great efforts on understanding the underlying dynamical mechanisms [5]}, [6]}, [7]}, [8]}, [9]}. Early studies argued that the dynamical processes of social contagion are similar to disease spreading in the sense that a simple contact with a single infected individual can trigger diffusion [10]}, [11]}. Therefore, many epidemic-like models are proposed, which are called simple contagion models. These models provide profound insights into many physical phenomena on social networks, such as the cascading information diffusion process, the co-contagion dynamics on multiplex networks, and etc [12]}, [13]}, [14]}.
